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DochEvi [55]
2 years ago
12

In a poll conducted before a Massachusetts city's mayoral election, 134 of 420 randomly chosen likely voters indicated that they

planned to vote for the Democratic candidate. Suppose that an article describing the poll says that the margin of error for the statistic is 0.045.
Required:
Use this information to find an interval estimate and interpret the confidence interval.
Mathematics
1 answer:
Nezavi [6.7K]2 years ago
7 0

Using confidence interval concepts, it is found that the interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.

<h3>What is a confidence interval?</h3>

It is given by the <u>sample proportion plus/minus the margin of error</u>, and a x% confidence interval means that we are x% sure the population proportion is in the interval.

134 of 420 randomly chosen likely voters indicated that they planned to vote for the Democratic candidate, hence:

p = 134/420 = 0.319

The margin of error for the statistic is 0.045, hence:

0.319 - 0.045 = 0.274

0.319 + 0.045 = 0.364

The interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.

More can be learned about confidence interval concepts at brainly.com/question/25890103

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The radius of a size 5 soccer ball is approximately 11.5 cm. How many square inches of synthetic leather does it
kakasveta [241]

Answer:

1661.06 cm²

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 11.5 cm

Size of synthetic leather needed =?

To know how many square centimetres of synthetic leather needed to cover the ball, we shall determine the area of the ball. This can be obtained as follow:

Radius (r) = 11.5 cm

Pi (π) = 3.14

Area of ball =?

The shape of a ball is spherical in nature. Thus, we shall apply the formula for calculating the area of a sphere. This is illustrated below:

A = 4πr²

A = 4 × 3.14 × 11.5²

A = 4× 3.14 × 132.25

A = 1661.06 cm²

Thus, 1661.06 cm² of synthetic leather needed to cover the ball.

6 0
2 years ago
Find the measures of a positive angle and a negative angle that are coterminal with each given angle. Part 2.
Ratling [72]

Answer:

8. -385°, 335°

9. -30°, 330°

Step-by-step explanation:

8. θ = -25°

-25-360 = -385°

-25+360 = 335°

9. θ = -390°

-390+360 = -30°

-30+360 = 330°

8 0
3 years ago
PLEASE ANSER FAST!!
dmitriy555 [2]

Answer:

699(0.90)(1.07)

Step-by-step explanation:

Given that:

Regular cost of couch = $699

Onsale percentage = 10%

Sales tax in purchase = 7%

Final price of couch :

New price at Selling percentage :

Regular price * (discount) * (sales tax percentage)

Regular price * (100% - 10%) * (100 + 7%)

699 * (1 - 0.1) * (1 + 0.07)

699 * 0.90 * 1.07

699(0.90)(1.07)

5 0
3 years ago
Need quick help on this
Masteriza [31]

Answer:

C.

Step-by-step explanation:

I cant really explain it but i had the same question and had the answer worked out on the paper

Hope it helps :3 (tell me if it was right or wrong so i know if i need to fix something later)

8 0
3 years ago
write the equation of the line that passes through (2, 4) and has a slope of –1 in point-slope form. x – 4 = –1(y – 2) x – 2 = –
Kobotan [32]
The point-slope form: y-y_0=m(x-x_0)

m = -1; (2; 4) \to x_0=2;\ y_0=4

subtitute

y - 2 = -1(x - 4)
6 0
3 years ago
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